On the numerical simulation of two-dimensional time-dependent flows of Oldroyd fluids. I: Basic method and preliminary results
type: Item
instance of: scholarly article
title: On the numerical simulation of two-dimensional time-dependent flows of Oldroyd fluids. I: Basic method and preliminary results
zbMATH Open document ID: 0564.76012
DOI: 10.1016/0377-0257(84)80048-8
author: J. Blot
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1984-01-01T00:00:00Z
review text: The author presents a finite difference method to solve the problem of time dependent flow of Oldroyd fluid past a circular cylinder. The equations are discretised using a cylindrical polar finite-difference grid with a transformation which has the effect of concentrating grid points near to the cylinder where variables change more rapidly. Twenty four grid points are used in the radial direction while sixty four in the angular direction. It is observed that for low elasticity the flow field is significantly different from the Newtonian case only initially, but as time goes on, the difference disappears, leaving streamlines which are only very slightly shifted downstream from the Newtonian streamlines. Drag coefficient is reported to be 13\% higher than the Newtonian drag. However, increased elasticity results in the form of an area of slow moving fluid around the cylinder which settles to a steady state.
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 3900339
zbMATH Keywords: time dependent flow
zbMATH Keywords: Oldroyd fluid
zbMATH Keywords: circular cylinder
zbMATH Keywords: cylindrical polar finite-difference grid
zbMATH Keywords: Drag coefficient
reviewed by: Y. N. Gaur
MaRDI profile type: Publication
full work available at URL: 0377-0257(84)80048-8
OpenAlex ID: W2052922329
Wikidata QID: Q126774104
Recommended article: On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid
Recommended article: Two fast numerical methods for a generalized Oldroyd-B fluid model
Recommended article: Q3456456
Recommended article: On the simulation of unsteady flow of an Oldroyd-B fluid by spectral methods
Recommended article: Numerical Simulation of Generalized Newtonian and Oldroyd-B Fluids
Recommended article: Q5153297
Recommended article: Numerical analysis of time-dependent stagnation point flow of Oldroyd-B fluid subject to modified Fourier’s law
Recommended article: Three‐Dimensional Flow of a Power‐Law Fluid Due to a Stretching Flat Surface
Recommended article: Two-grid finite element Galerkin approximation of equations of motion arising in Oldroyd fluids of order one with non-smooth initial data
Recommended article: Numerical simulation of Oldroyd-B fluid in a contraction channel
description: scientific article; zbMATH DE number 3900339